Gaussian Process Regression for Data Fulfilling Linear Differential Equations with Localized Sources

Mathematics

• Acoustics 17%
• Correspondence 13%
• Covariance Function 18%
• Differential equation 21%
• Diffusion equation 15%
• Frequency Domain 16%
• Fundamental Solution 16%
• Gaussian distribution 13%
• Gaussian Process 63%
• Heat Diffusion 21%
• Heat Equation 14%
• Helmholtz Equation 16%
• Hyperparameters 60%
• Invariance 13%
• kernel 32%
• Laplace's equation 16%
• Linear differential equation 59%
• Linear Model 14%
• Linear Operator 13%
• Localized Source 100%
• Maximum Likelihood Estimate 15%
• Modeling 10%
• Nonlinear Optimization 17%
• Parameter Estimation 14%
• Physical property 19%
• Physics 13%
• Point Source 59%
• Probability Distribution 13%
• Range of data 9%
• Regression 49%
• Scalar 12%
• Simulation 10%
• Superposition 16%
• Training 17%

Physics & Astronomy

• acoustics 12%
• derivation 17%
• differential equations 51%
• education 21%
• heat 14%
• Helmholtz equations 26%
• invariance 19%
• kernel functions 31%
• Laplace equation 26%
• linear operators 31%
• maximum likelihood estimates 33%
• optimization 14%
• physical properties 16%
• physics 13%
• point sources 62%
• regression analysis 65%
• scalars 15%
• simulation 8%

Engineering & Materials Science

• Acoustics 17%
• Differential equations 57%
• Helmholtz equation 31%
• Hot Temperature 10%
• Invariance 22%
• Laplace equation 28%
• Mathematical operators 19%
• Maximum likelihood 20%
• Parameter estimation 19%
• Physical properties 19%
• Physics 18%
• Probability distributions 20%